Complex scaling : physics of unbound light nuclei and perspective

Abstract

The complex scaling method (CSM) is one of the most powerful methods of describing the resonances with complex energy eigenstates, based on non-Hermitian quantum mechanics. We present the basic application of CSM to the properties of the unbound phenomena of light nuclei. In particular, we focus on many-body resonant and non-resonant continuum states observed in unstable nuclei. We also investigate the continuum level density (CLD) in the scattering problem in terms of the Green's function with CSM. We discuss the explicit effects of resonant and non-resonant contributions in CLD and transition strength functions.

arXiv comment38 pages, 33 figures, to be published in Progress of Theoretical and Experimental Physics

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• Soft dipole resonance in ${}^8$C and its isospin symmetry with ${}^8$He
• Analysis of bound and resonant states of doubly heavy tetraquarks with spin $J\le 2$
• The lowest excited states of 14C and 14O nuclei within a five-cluster model
• Generalized coherent states satisfying the Pauli principle in a nuclear cluster model
• Complex-scaled no-core shell model calculations of bound and unbound nuclear states in light nuclei
• Possible ${\bar{D}}^{(\ast )}{\Xi }_{cc}^{(\ast )}$ and ${\Xi }_{cc}^{(\ast )}{\Xi }_{cc}^{(\ast )}$ molecules as superflavor partners of $T_{cc}$
• Physics of many-body resonances with complex scaling and applications to light unstable nuclei
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